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Finding the Fourth Proportional to 306,996, 460,519.92 and 85,380

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Solution

The fourth proportional to 306,996, 460,519.92 and 85,380 is: 128,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,996 : 460,519.92 = 85,380 : x
  2. Step 2: Convert to fraction form
    306,996/460,519.92 = 85,380/x
  3. Step 3: Cross multiply
    306,996x = 460,519.92 × 85,380
  4. Step 4: Simplify right side
    306,996x = 39,319,190,769.60
  5. Step 5: Solve for x
    x = 39,319,190,769.60/306,996
  6. Step 6: Final answer
    x = 128,077.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.